Chapter 5 Lesson 5.3 Writing Linear Equations Given Two Points Worksheet Page 5
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Write in slope-intercept form the equation of
SLOPE-INTERCEPT FORM
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the line that passes through the given points.
H
H
OMEWORK
ELP
( 5, 7) and (2,
7)
(2, 0) and ( 2, 6)
(1,
5) and (3, 4)
24.
25.
26.
Extra help with
problem solving in
27.
( 1,
2) and (2, 6)
28.
(1, 4) and ( 1,
4)
29.
(2,
3) and ( 3, 7)
Exs. 24–32 is available at
30.
(2, 2) and ( 7,
7)
31.
(6,
4) and (2, 8)
32.
(1, 1) and (7, 4)
Decide which form of a linear equation to use.
DECIDING WHICH FORM
Then write the equation of the line in slope-intercept form.
33.
34.
35.
y
y
y
(4, 3)
3
1
(4, 2)
(5, 0)
2
1
3
x
1
1
2
6
x
1
3
x
( 2,
4)
(0,
3)
( 1,
1)
6
The graph below models an airplane’s descent
36.
AIRPLANE DESCENT
from 12,500 to 2500 feet. Write in slope-intercept form the equation of
the line shown.
Airplane Descent
y
(0, 12.5)
10
5
(150, 2.5)
0
x
0
20
40
60
80
100
120
140
160
Approach distance (thousands of feet)
In Exercises 37–39, use the diagram of the Chunnel below.
CHALLENGE
Write the equation of the line from point A to point B. What is the slope?
37.
Chunnel
38.
Write the equation of the line from point C to point D. What is the slope?
Folkestone
ENGLAND
terminal
39.
Is the Chunnel steeper on the English side or on the French side?
England
France
The Chunnel
Chunnel
100
A (0, 60)
D (50, 50)
Coquelles
English
50
terminal
Channel
N
0
FRANCE
50
is a railroad
THE CHUNNEL
B (15,
70)
100
tunnel under the English
C (38,
90)
Channel, connecting England
Not drawn to scale
150
and France. It is one of the
most ambitious engineering
0
5
10
15
20
25
30
35
40
45
50
feats of the twentieth century.
Distance from Folkestone terminal (thousands of meters)
5.3 Writing Linear Equations Given Two Points
289
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